Title :
A new gradient search interpretation of super-exponential algorithm
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
fDate :
3/1/2006 12:00:00 AM
Abstract :
In this letter, the super-exponential algorithm (SEA) is interpreted as a gradient search of an extremum of the inverse filter criteria, and the optimal gradient search step-size is presented as the root of a quartic equation. Different from the gradient search interpretation presented by Mboup and Regalia in the combined channel-equalizer space, the interpretation here is directly related with the realization of SEA in the equalizer space and uncovers more convergence details of SEA under unideal conditions.
Keywords :
AWGN channels; blind equalisers; convergence of numerical methods; filtering theory; gradient methods; higher order statistics; search problems; SEA; blind channel-equalization; convergence; gradient search interpretation; higher-order cumulant; inverse filter criteria; quartic equation; super-exponential algorithm; Additive noise; Convergence; Convolution; Deconvolution; Equalizers; Equations; Filters; Gaussian noise; Higher order statistics; Signal processing algorithms; Blind channel equalization; blind deconvolution; gradient method; higher-order cumulants;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.862600
